1005273 has 6 divisors (see below), whose sum is σ = 1452074. Its totient is φ = 670176.

The previous prime is 1005269. The next prime is 1005287. The reversal of 1005273 is 3725001.

It can be written as a sum of positive squares in only one way, i.e., 700569 + 304704 = 837^2 + 552^2 .

It is not a de Polignac number, because 1005273 - 2² = 1005269 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55840 + ... + 55857.

2^1005273 is an apocalyptic number.

It is an amenable number.

1005273 is a deficient number, since it is larger than the sum of its proper divisors (446801).

1005273 is a wasteful number, since it uses less digits than its factorization.

1005273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111703 (or 111700 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1005273 is about 1002.6330335671. The cubic root of 1005273 is about 100.1754586293.

The spelling of 1005273 in words is "one million, five thousand, two hundred seventy-three".